Among those who watched the speech, 57 percent said they had a very positive response, while another 21 percent described their reaction as "somewhat positive."

Only 21 percent of those polled said they responded negatively to the address.

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The new survey of 509 Americans who watched Trump's speech has a margin of error of 4.5 percentage points.

CNN polled about 8 percent more Republicans than Democrats, and the news network noted that people who watch political speeches, like Trump's on Tuesday, tend to be more receptive toward the speaker right off the bat.

Trump addressed a joint session of Congress, discussing his vision for a sweeping policy agenda but providing few details. Still, the speech marked a break from Trump's usual harsh and bombastic speaking style, as he sought to present a more optimistic approach to tackling the country's problems.

“Everything that is broken in our country can be fixed,” he said. “Every problem can be solved. And every hurting family can find healing, and hope.”